Answer:
M = 1/0.000121 = 8264.5 years
Step-by-step explanation:
M = − k ∫∞₀ teᵏᵗdt
To obtain this mean life, we'll use integration by parts to integrate the function ∫ teᵏᵗdt
∫udv = uv - ∫ vdu
u = t
du/dt = 1
du = dt
∫ dv = ∫ eᵏᵗdt
v = eᵏᵗ/k
∫udv = ∫ teᵏᵗdt
uv = teᵏᵗ/k
∫ vdu = eᵏᵗ/k
∫ teᵏᵗdt = (teᵏᵗ/k) - ∫eᵏᵗ/k
But, ∫eᵏᵗ/k = (1/k) ∫eᵏᵗ = (1/k²) eᵏᵗ = eᵏᵗ/k²
∫ teᵏᵗdt = (teᵏᵗ/k) - eᵏᵗ/k²
The rest of the calculation is done on paper in the image attached to this question
Answer:
(5,8) (6,7) (7,6)
Step-by-step explanation:
those three points make a line that has a negative slope. if m<0 then m<1
First, you subtract the equations. (3x^2-2x+5) - (x^2+3x-2) so you get 3x^2 - 2x + 5 - x^2 - 3x + 2. This leads you to 2x^2 - 5x + 7. If you multiply that by 1/2 x^2, you get x^4 - 5/2(x^3) + 7/2(x^2)
To find the mean, add up all of the miles and divide by the number of years. 12100 + 15758 + 12200 + 11800 + 12750 = 64608. 64608/5 = 12921.9. The mean (the average) is 12,921.9 miles.
To find the median, put the numbers in order and find the middle number. The middle number is 12200. The median (middle number) is 12,200 miles
To find the mode, you would look for the number that is repeated the most. In this data set, no number repeats, so there is no mode. There is no mode for this data set.
The mean (average) would be the best measure of central tendency to predict how many miles Gina will drive in the sixth year.
I hope this helps! Can I have Brainliest, please? :)
